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Calculate the wavelength of radio waves broadcasted by Radio Max, which operates on a frequency of [tex]$99.7 \times 10^6$[/tex] Hz.

Answer :

To determine the wavelength of the radio waves, we start with the basic relationship between the speed of light, wavelength, and frequency:

[tex]$$
c = \lambda \times f
$$[/tex]

Here,
- [tex]$c$[/tex] is the speed of light (approximately [tex]$3 \times 10^8 \; \text{m/s}$[/tex]),
- [tex]$f$[/tex] is the frequency, and
- [tex]$\lambda$[/tex] is the wavelength.

Given that the frequency is

[tex]$$
f = 99.7 \times 10^6 \; \text{Hz},
$$[/tex]

we can rearrange the formula to solve for the wavelength [tex]$\lambda$[/tex]:

[tex]$$
\lambda = \frac{c}{f}.
$$[/tex]

Substituting the known values:

[tex]$$
\lambda = \frac{3 \times 10^8 \; \text{m/s}}{99.7 \times 10^6 \; \text{Hz}}.
$$[/tex]

When you perform the division, you get:

[tex]$$
\lambda \approx 3.009 \; \text{m}.
$$[/tex]

Thus, the wavelength of the twin arty radio waves is approximately [tex]$3.009$[/tex] meters.

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